Soccer ball: $$ \$ 7.39 $$ Discount Rate: $$ 40 \% $$ Tax Rate: $$ 3 \% $$

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UpStudy AI · Accepted Answer

To find the final price of the soccer ball after applying the discount and tax, we can follow these steps:

1. **Calculate the discount amount**:
   $$
   \text{Discount Amount} = \text{Original Price} \times \text{Discount Rate}
   $$

2. **Calculate the price after discount**:
   $$
   \text{Price After Discount} = \text{Original Price} - \text{Discount Amount}
   $$

3. **Calculate the tax amount on the discounted price**:
   $$
   \text{Tax Amount} = \text{Price After Discount} \times \text{Tax Rate}
   $$

4. **Calculate the final price**:
   $$
   \text{Final Price} = \text{Price After Discount} + \text{Tax Amount}
   $$

Now, let's perform these calculations step by step.

### Step 1: Calculate the discount amount
$$
\text{Discount Amount} = 7.39 \times 0.40
$$

### Step 2: Calculate the price after discount
$$
\text{Price After Discount} = 7.39 - \text{Discount Amount}
$$

### Step 3: Calculate the tax amount
$$
\text{Tax Amount} = \text{Price After Discount} \times 0.03
$$

### Step 4: Calculate the final price
$$
\text{Final Price} = \text{Price After Discount} + \text{Tax Amount}
$$

Now, let's compute these values.
Calculate the value by following steps:
- step0: Calculate:
  $$7.39\times 0.4$$
- step1: Multiply the numbers:
  $$2.956$$
Calculate or simplify the expression $$ 7.39 * (1 - 0.40) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$7.39\left(1-0.4\right)$$
- step1: Subtract the numbers:
  $$7.39\times 0.6$$
- step2: Multiply the numbers:
  $$4.434$$
Calculate or simplify the expression $$ (7.39 * (1 - 0.40)) * 0.03 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(7.39\left(1-0.4\right)\right)\times 0.03$$
- step1: Remove the parentheses:
  $$7.39\left(1-0.4\right)\times 0.03$$
- step2: Subtract the numbers:
  $$7.39\times 0.6\times 0.03$$
- step3: Multiply the terms:
  $$4.434\times 0.03$$
- step4: Multiply the numbers:
  $$0.13302$$
Calculate or simplify the expression $$ 4.434 + 0.13302 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4.434+0.13302$$
- step1: Add the numbers:
  $$4.56702$$
Let's summarize the calculations step by step:

1. **Calculate the discount amount**:
   $$
   \text{Discount Amount} = 7.39 \times 0.40 = 2.956
   $$

2. **Calculate the price after discount**:
   $$
   \text{Price After Discount} = 7.39 - 2.956 = 4.434
   $$

3. **Calculate the tax amount**:
   $$
   \text{Tax Amount} = 4.434 \times 0.03 = 0.13302
   $$

4. **Calculate the final price**:
   $$
   \text{Final Price} = 4.434 + 0.13302 = 4.56702
   $$

Thus, the final price of the soccer ball after applying the discount and tax is approximately **$4.57**.
The final price of the soccer ball is approximately \$4.57.

Soccer ball: \( \$ 7.39 \) Discount Rate: \( 40 \% \) Tax Rate: \( 3 \% \)

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